Three-dimensional reconstruction of non-homogeneous dielectric objects by the coupled-dipole method

Abstract

In this paper we present an inversion procedure for electromagnetic scattering, based on the coupled-dipole method (CDM) combined with an inversion algorithm making use of the singular value decomposition procedure associated with a regularization factor. This method permits to obtain images of non-homogeneous dielectric objects whose dimensions are comparable to the incident wavelength. The feasibility of this method is showed in two synthetic examples using the CDM with 257 and 515 dipoles, for spherical objects with a spherical inclusion. The method also works if the scattered electric field, which is the input data, is corrupted with Gaussian noise.

Tomografia Eletromagnética de Tempos de Trânsito: Aplicação do GCV para a Busca do Parâmetro de Regularização

“…Neste trabalho optamos por técnicas de regularização que são empregadas com o intuito de tornar a inversão mais estável. No entanto, ambos os critérios podem ser utilizados, por exemplo em [3] onde através de um algoritmo de inversão utilizou-se o SVD com seleção de valores singulares e regularização.…”

An optimization method with precomputed starting points for solving the inverse Mie problem

“…In conclusion, we give a list of recent works on close inverse scattering problems: [2,[23][24][25][26] (see also the bibliography therein).…”